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Gradient estimate of parabolic Cauchy problem

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#partial-differential-equations #parabolic-pde #cauchy-problem
70
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Is there a $\mathcal{C}^1$ solution for this Cauchy problem?

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#real-analysis #partial-differential-equations #cauchy-problem
43
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Why aren't these the characteristics to my PDE?

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#partial-differential-equations #characteristics #cauchy-problem
38
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How to draw the function $y'(x) = y(x)(y(x)-1)^{1/3}$ qualitatively?

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#ordinary-differential-equations #graphing-functions #recreational-mathematics #cauchy-problem
36
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How to find the explicit solution of $y'(x)= |y(x)|(1-y(x)) \frac{x^3}{1+x^4}$

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#calculus #ordinary-differential-equations #cauchy-problem
36
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Is the right-hand side of the differential equation $y'(x) = x^5(e^{4-y^2}-1)$ globally Lipchitz?

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#real-analysis #lipschitz-functions #cauchy-problem
55
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Does the Cauchy problem $x'=\operatorname{sgn}(t), x(0)=0$ have a solution?

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#ordinary-differential-equations #cauchy-problem
51
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Is there any error in the solution of the following Cauchy-Neumann problem?

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#partial-differential-equations #boundary-value-problem #cauchy-problem
104
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Existence of a unique solution to Cauchy problem

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#partial-differential-equations #nonlinear-analysis #cauchy-problem
63
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Confusion about Finite Differences Method Notation

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#ordinary-differential-equations #numerical-methods #finite-differences #cauchy-problem #eulers-method
150
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existence of a solution of a differential equation

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#real-analysis #ordinary-differential-equations #analysis #cauchy-problem
33
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Exististence result for semilinear parabolic PDE

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#partial-differential-equations #parabolic-pde #cauchy-problem
323
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Solving the first-order non-linear differential equation $y' = y^2 - 2 x$

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#ordinary-differential-equations #special-functions #cauchy-problem #airy-functions
90
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Numerical solution to second order ODE with an infinity at r = 0 (Auxiliary Cauchy Equation)

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#ordinary-differential-equations #numerical-methods #cauchy-problem
118
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Linear reaction-diffusion PDE with variable reaction coefficient

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#partial-differential-equations #cauchy-problem

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